Search a number
-
+
1280297041920 = 2153451341181
BaseRepresentation
bin10010101000010111101…
…001101000000000000000
311112101200002202110220000
4102220113221220000000
5131434022020320140
62420054344520000
7161332645204041
oct22502751500000
94471602673800
101280297041920
11453a75337166
12188168a80000
1393968123070
1445d769068c8
15234842d1a30
hex12a17a68000

1280297041920 has 1280 divisors, whose sum is σ = 5091651124560. Its totient is φ = 305764761600.

The previous prime is 1280297041909. The next prime is 1280297041921. The reversal of 1280297041920 is 291407920821.

1280297041920 is a `hidden beast` number, since 128 + 0 + 2 + 97 + 0 + 419 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13537787904 + 1266759254016 = 116352^2 + 1125504^2 .

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1280297041921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7073464230 + ... + 7073464410.

Almost surely, 21280297041920 is an apocalyptic number.

1280297041920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1280297041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545825562280).

1280297041920 is an abundant number, since it is smaller than the sum of its proper divisors (3811354082640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1280297041920 is an equidigital number, since it uses as much as digits as its factorization.

1280297041920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1280297041920 in words is "one trillion, two hundred eighty billion, two hundred ninety-seven million, forty-one thousand, nine hundred twenty".